6w-3(2-w)=4(2w-1)

Solution for 6w-3(2-w)=4(2w-1) equation:

Simplifying
6w + -3(2 + -1w) = 4(2w + -1)
6w + (2 * -3 + -1w * -3) = 4(2w + -1)
6w + (-6 + 3w) = 4(2w + -1)

Reorder the terms:
-6 + 6w + 3w = 4(2w + -1)

Combine like terms: 6w + 3w = 9w
-6 + 9w = 4(2w + -1)

Reorder the terms:
-6 + 9w = 4(-1 + 2w)
-6 + 9w = (-1 * 4 + 2w * 4)
-6 + 9w = (-4 + 8w)

Solving
-6 + 9w = -4 + 8w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-8w' to each side of the equation.
-6 + 9w + -8w = -4 + 8w + -8w

Combine like terms: 9w + -8w = 1w
-6 + 1w = -4 + 8w + -8w

Combine like terms: 8w + -8w = 0
-6 + 1w = -4 + 0
-6 + 1w = -4

Add '6' to each side of the equation.
-6 + 6 + 1w = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 1w = -4 + 6
1w = -4 + 6

Combine like terms: -4 + 6 = 2
1w = 2

Divide each side by '1'.
w = 2

Simplifying
w = 2